Pith Number

pith:P6B4TO4Q

pith:2009:P6B4TO4QXCAELZCBGFXXQNAH7R

not attested not anchored not stored refs pending

Generating functions and sum rules for quantum oscillator

M. A. Trusov, V. S. Popov

arxiv:0909.0624 v1 · 2009-09-03 · quant-ph · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6B4TO4QXCAELZCBGFXXQNAH7R}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:12:00.368043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f83c9bb90b88045e441316f783407fc723222795eeebe3eda8a0b6cc71ce0c8

Aliases

arxiv: 0909.0624 · arxiv_version: 0909.0624v1 · doi: 10.48550/arxiv.0909.0624 · pith_short_12: P6B4TO4QXCAE · pith_short_16: P6B4TO4QXCAELZCB · pith_short_8: P6B4TO4Q

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/P6B4TO4QXCAELZCBGFXXQNAH7R \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7f83c9bb90b88045e441316f783407fc723222795eeebe3eda8a0b6cc71ce0c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a7d3fbb00c2dc00161a65ac391bca951a3e2e55842eeab5745576a4e8804f2",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-09-03T11:10:14Z",
    "title_canon_sha256": "64064f60857ecb50af7936d6a279b1883c381008c6814d4d02f73e865865fe6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0624",
    "kind": "arxiv",
    "version": 1
  }
}